Least Common Multiple of 7377 and 7381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7377 and 7381 the smallest integer that is 54449637 that is divisible by both numbers.
Least Common Multiple (LCM) of 7377 and 7381 is 54449637.
LCM(7377,7381) = 54449637
LCM of 7377 and 7381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7377 and 7381 by Prime method
- Least Common Multiple of 7377 and 7381 with GCF Formula
LCM of 7377 and 7381 is 54449637
Least common multiple can be found by multiplying the highest exponent prime factors of 7377 and 7381. First we will calculate the prime factors of 7377 and 7381.
Prime Factorization of 7377
| 3 | 7377 |
| 2459 | 2459 |
| 1 |
Prime factors of 7377 are 3,2459. Prime factorization of 7377 in exponential form is:
7377 = 31×24591
Prime Factorization of 7381
| 11 | 7381 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:
7381 = 112×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7377 and 7381.
LCM(7377,7381) = 31×112×611×24591
LCM(7377,7381) = 54449637
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1, 3, 2459, 7377
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1, 11, 61, 121, 671, 7381
Least Common Multiple of 7377 and 7381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7377 and 7381, than apply into the LCM equation.
GCF(7377,7381) = 1
LCM(7377,7381) = ( 7377 × 7381) / 1
LCM(7377,7381) = 54449637 / 1
LCM(7377,7381) = 54449637
Properties of LCM 7377 and 7381
(i) The LCM of 7381 and 7377 is associative
LCM of 7377 and 7381 = LCM of 7381 and 7377
Related Least Common Multiples of 7377
Related Least Common Multiples of 7381
Frequently Asked Questions on LCM of 7377 and 7381
1. What is the LCM of 7377 and 7381?
Answer: LCM of 7377 and 7381 is 54449637.
2. What are the Factors of 7377?
Answer: Factors of 7377 are 1, 3, 2459, 7377. There are 4 integers that are factors of 7377. The greatest factor of 7377 is 7377.
3. What are the Factors of 7381?
Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.
4. How to Find the LCM of 7377 and 7381?
Answer:
Least Common Multiple of 7377 and 7381 = 54449637
Step 1: Find the prime factorization of 7377
7377 = 3 x 2459
Step 2: Find the prime factorization of 7381
7381 = 11 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54449637 = 3 x 11 x 11 x 61 x 2459
Step 4: Therefore, the least common multiple of 7377 and 7381 is 54449637.